Titlebook: Applied Asymptotic Methods in Nonlinear Oscillations; Yu. A. Mitropolskii,Nguyen Dao Book 1997 Springer Science+Business Media Dordrecht 1

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Applied Asymptotic Methods in Nonlinear Oscillations

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0925-0042 efficients, and a second part, relatively small compared with the first, containing nonlinear terms. Such a system is said to be weakly nonlinear. The small terms rendering the system nonlinear are referred to as perturbations. A weakly nonlinear system is called quasi-linear and is governed by quas

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Averaging Method,sides of complicated differential equations by averaged functions which did not explicitly contain either the time t or rapidly changing parameters of the system. The resulting equations were either exactly integrable or greatly simplified, and could be used to draw important qualitative and quantitative conclusions about the motion.

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Energy, Transportation and Global Warminger, many new effects, including some of technical importance, can appear. Among these are for example, jumps in amplitude, subharmonic oscillations, combination frequencies, entrainment of frequencies and so on.

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